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A350295 2nd subdiagonal of the triangle A350292. 2
6, 8, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666, 703, 741, 780, 820, 861, 903, 946, 990, 1035, 1081, 1128, 1176, 1225, 1275, 1326, 1378, 1431, 1485, 1540 (list; graph; refs; listen; history; text; internal format)
OFFSET
3,1
LINKS
Heiko Harborth and Hauke Nienborg, Saturated vertex Turán numbers for cube graphs, Congr. Num. 208 (2011), 183-188.
Mathonline, Cube Graphs
FORMULA
a(n) = binomial(n, 2) = A000217(n-1) for n > 4 with a(3) = 6 and a(4) = 8 (see Theorem 3 in Harborth and Nienborg).
O.g.f.: x^3*(2*x^4 - 3*x^3 - 4*x^2 + 10*x - 6)/(x - 1)^3.
E.g.f.: x^2*(x^2 + 6*x + 6*exp(x) - 6)/12.
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 7.
MATHEMATICA
Join[{6, 8}, Table[Binomial[n, 2], {n, 5, 56}]]
LinearRecurrence[{3, -3, 1}, {6, 8, 10, 15, 21}, 60] (* Harvey P. Dale, Jul 01 2022 *)
CROSSREFS
Sequence in context: A048886 A349477 A161545 * A165583 A229965 A165473
KEYWORD
nonn,easy
AUTHOR
Stefano Spezia, Dec 23 2021
STATUS
approved

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)